shadowhand changed Due Date from Sat, Mar 1, 12:00 AM to May 1 2014, 12:00 AM.
The date that I am changing from includes the day name "Sat" but the date I am changing to does not. For consistency, I would suggest removing the day name completely, as it is not displayed anywhere else with custom date fields.
In all cases were we display dates, we use formats like "Mon, June 2" for dates within 30 days of the current time, and formats like "June 2 2013" for dates more than 30 days from the current time. This is a side effect of that behavior (Mar 1 is less than 30 days away, while May 1 is more than 30 days away).
It would probably be better to let the user customize the "near" date format, customize the "far" date format, customize the cutoff (or provide several cutoffs, etc., etc.), and then exclude this rendering from using the cutoff form. However, that's a lot of work and this feature is only very slightly inconvenient as is, so we probably won't fix this anytime soon. See also T4661.